\documentclass{article}
%\usepackage{pgfplots}
%\pgfplotsset{compat=newest}
%\pgfplotsset{plot coordinates/math parser=false}
\usepackage{setspace,subfigure}
\usepackage{tikz}
\usetikzlibrary{plotmarks}
\usetikzlibrary{lindenmayersystems}
\usetikzlibrary{decorations.pathmorphing}
\usepackage{geometry}
\geometry{verbose=false,papersize={2.7in,2.5in},body={2.7in,2.5in},marginratio={4:3, 2:3}}% marginratio={horizontal ratio,verticalratio}
\begin{document}
\thispagestyle{empty}
\null\vspace{0pt}
\hspace{-10pt}
\begin{tikzpicture}
\draw [ ultra thick,domain=0:2*pi,samples=100] plot ({1.5*cos(\x r) + (0.3/2)*cos((5+1)*\x r)+(0.3/2)*cos((5-1)*\x r)},{sin(\x r) + (0.3/2)*sin((5+1)*\x r) - (0.3/2)*sin((5-1)*\x r)});
\node at (-0.4,1.1) {$\Gamma$};
\draw [ultra thick,green,domain=0:2*pi,samples=100] plot ({2.7*cos(\x r)},{2.7*sin(\x r)});
\node at (-2.2,2.3) {$\partial D$};
\draw[purple,ultra thick,decorate,->] (2.5,2.5) -- (1.9092,1.9092);
\node at (2.6,2.6) {$v$};
\draw[blue,ultra thick,decorate,->]  (1.9092,1.9092) -- (1,1);
\draw[red, ultra thick,decorate,->] (2.6533,0.5) -- (3.5,0.5);
\draw[cyan, ultra thick,decorate,->] (1.5,0.5) -- (2.6533,0.5);
\node at (1.3,1.7) {$\mathbf{C}$};
\node at (0.2,0) {$\mathbf{A}^{-1}$};
\node at (2.3,0.2) {$\mathbf{B}$};
\node at (0,-2) {$\mathbf{S}=\mathbf{B}\mathbf{A}^{-1}\mathbf{C}$};


\node at (3.7,0.5) {$w$};
\node at (3,-2.5) {$\Omega$};
\end{tikzpicture}
\end{document}